434413041040 has 80 divisors (see below), whose sum is σ = 1103664110976. Its totient is φ = 157705344000.

The previous prime is 434413041011. The next prime is 434413041059. The reversal of 434413041040 is 40140314434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118189 + ... + 939571.

Almost surely, 2^434413041040 is an apocalyptic number.

434413041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434413041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551832055488).

434413041040 is an abundant number, since it is smaller than the sum of its proper divisors (669251069936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434413041040 is a wasteful number, since it uses less digits than its factorization.

434413041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822008 (or 822002 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434413041040 its reverse (40140314434), we get a palindrome (474553355474).

The spelling of 434413041040 in words is "four hundred thirty-four billion, four hundred thirteen million, forty-one thousand, forty".